A triangular prism has a height of 1.5 inches and right triangular bases with a height of 1.5 inches, length of 5 inches, and a hypotenuse measuring 5.22 inches. What is the prism's surface area? (1 point)

Question

Responses

25.08 in.2
25.08 in. squared

30.33 in.2
30.33 in. squared

25.41 in.2
25.41 in. squared

24.75 in.2

Answer 1

To calculate the surface area of the triangular prism, we need to find the area of the two triangular bases and the three rectangular sides.

Area of the triangular bases:
= 2 * (1/2 * base * height)
= 2 * (1/2 * 5 * 1.5)
= 2 * (7.5)
= 15 square inches

Area of the rectangular sides:
Since the triangular sides are right triangles, we can calculate the area of each side as:
= base * height
= 5 * 1.5
= 7.5 square inches

Total surface area:
= 15 (triangular bases) + 7.5 * 3 (rectangular sides)
= 15 + 22.5
= 37.5 square inches

Therefore, the surface area of the triangular prism is 37.5 square inches. None of the provided options match this exact value, but the closest one is 30.33 in.2.